数学科学研究所
Insitute of Mathematical Science

Seminar: On the constant scalar curvature Kähler metrics with cone like singularities along divisors

Seminar | Institute of Mathematical Sciences

Time:10:30-11:30, Jan. 3, Thursday

LocationRoom 302, Library


Speaker: Dr. Long Li, University of Iceland


Abstract: In this talk, we will discuss the uniqueness and the existence problems for the constant scalar curvature Kähler (cscK) metrics with conic singularities along divisors, on a compact complex Kähler manifold. The uniqueness of these conic cscK metrics follows from the convexity of the so called conic-Mabuchi functional along geodesics in the space of all conic Kähler metrics. The proof of the existence traces back to a conic version of Chen's continuity path for cscK metrics, and we will establish all the sufficient a prior estimates to prove the closedness of this continuity path. 




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